A rental car company is running two specials. Customers can pay $20 to rent a compact car for the first day plus $8 for each additional day, or they can rent the same car for $50 the first day and $5 for every additional day beyond that. Wesley notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How many additional days does Wesley want?

Question

Tatiana Benjamin

Mathematics

25 February, 17:17

A rental car company is running two specials. Customers can pay $20 to rent a compact car for the first day plus $8 for each additional day, or they can rent the same car for $50 the first day and $5 for every additional day beyond that. Wesley notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How many additional days does Wesley want?

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Answers (1)

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Kingston Irwin · Answer 1

They would be the same after 10 days.

Step-by-step explanation:

In order to find this, we must first create two equations. Let x be the number of days that are rented. We'll first create an equation for the first company. Since it costs $8 per day, let 8 be the coefficient of x and 20 be the constant.

y = 8x + 20

Now, do the same with the second company.

y = 5x + 50

Now that we have these, set them equal to each other to get the answer.

8x + 20 = 5x + 50

3x + 20 = 50

3x = 30

x = 10